Quantum phase transitions in one-dimensional integrable systems
Metal atom clusters and crystallization of 2D electron systems at finite temperature
| Full text | |
| Author(s): |
Gouveia, Marcio
;
Oler, Juliano G.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 53, n. 4, p. 24-pg., 2022-08-25. |
| Abstract | |
Given an one-dimensional Lorenz-like expanding map we describe a class A of potentials phi : [0, 1] -> R admitting at most one equilibrium measure and we construct a family of continuous but not weak-Holder continuous potentials for which we observe phase transitions. This give a certain generalization of the results proved in Pesin and Zhang (J Stat Phys 122(6):1095-1110, 2006), where the authors have proved this for a smaller class of potentials, that is, for uniformly expanding maps and weakHolder continuous potentials. Indeed, the class A form an open and dense subset of C ([0, 1], R), with the usual C-0 topology. (AU) | |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |